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Finding the Fourth Proportional to 223,215.38, 307,859.00 and 146,812.91

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Solution

The fourth proportional to 223,215.38, 307,859.00 and 146,812.91 is: 202,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,215.38 : 307,859.00 = 146,812.91 : x
  2. Step 2: Convert to fraction form
    223,215.38/307,859.00 = 146,812.91/x
  3. Step 3: Cross multiply
    223,215.38x = 307,859.00 × 146,812.91
  4. Step 4: Simplify right side
    223,215.38x = 45,197,675,118.04
  5. Step 5: Solve for x
    x = 45,197,675,118.04/223,215.38
  6. Step 6: Final answer
    x = 202,484.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.